Volume 14, Issue 6
Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method

Adv. Appl. Math. Mech., 14 (2022), pp. 1456-1476.

Published online: 2022-08

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• Abstract

In this paper, the local domain-free discretization (DFD) method is extended to large eddy simulation (LES) of fluid-structure interaction and the vortex-induced vibration (VIV) of an elastically mounted rigid circular cylinder, which is held in the middle of a straight channel, is numerically investigated. The wall model based on the simplified turbulent boundary layer equations is employed to alleviate the requirement of mesh resolution in the near-wall region. The ability of the method for fluid-structure interaction is demonstrated by simulating flows over a circular cylinder undergoing VIV. The cylinder is neutrally buoyant with a reduced mass $m^∗ =11$ and has a low damping ratio $ζ =0.001.$ The numerical experiment of the VIV of a cylinder in an unbounded flow shows that the present LES-DFD method is more accurate and reliable than the referenced RANS and DES methods. For the cylinder in the middle of a straight channel, the effect of the channel height $(d^∗ = d/D)$ is investigated. The variations of the response amplitude, vortex-shedding pattern and the length of the induced separation zone in the channel boundary layers with the channel height are presented.

• Keywords

Immersed boundary method, domain-free discretization, large-eddy simulation, fluid-structure interaction, vortex-induced vibration.

• AMS Subject Headings

74F10, 76F65

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@Article{AAMM-14-1456, author = {Tianmei and Pu and and 24247 and and Tianmei Pu and Yang and Zhang and and 24248 and and Yang Zhang and Chunhua and Zhou and and 24249 and and Chunhua Zhou}, title = {Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2022}, volume = {14}, number = {6}, pages = {1456--1476}, abstract = {

In this paper, the local domain-free discretization (DFD) method is extended to large eddy simulation (LES) of fluid-structure interaction and the vortex-induced vibration (VIV) of an elastically mounted rigid circular cylinder, which is held in the middle of a straight channel, is numerically investigated. The wall model based on the simplified turbulent boundary layer equations is employed to alleviate the requirement of mesh resolution in the near-wall region. The ability of the method for fluid-structure interaction is demonstrated by simulating flows over a circular cylinder undergoing VIV. The cylinder is neutrally buoyant with a reduced mass $m^∗ =11$ and has a low damping ratio $ζ =0.001.$ The numerical experiment of the VIV of a cylinder in an unbounded flow shows that the present LES-DFD method is more accurate and reliable than the referenced RANS and DES methods. For the cylinder in the middle of a straight channel, the effect of the channel height $(d^∗ = d/D)$ is investigated. The variations of the response amplitude, vortex-shedding pattern and the length of the induced separation zone in the channel boundary layers with the channel height are presented.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2021-0199}, url = {http://global-sci.org/intro/article_detail/aamm/20855.html} }
TY - JOUR T1 - Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method AU - Pu , Tianmei AU - Zhang , Yang AU - Zhou , Chunhua JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1456 EP - 1476 PY - 2022 DA - 2022/08 SN - 14 DO - http://doi.org/10.4208/aamm.OA-2021-0199 UR - https://global-sci.org/intro/article_detail/aamm/20855.html KW - Immersed boundary method, domain-free discretization, large-eddy simulation, fluid-structure interaction, vortex-induced vibration. AB -

In this paper, the local domain-free discretization (DFD) method is extended to large eddy simulation (LES) of fluid-structure interaction and the vortex-induced vibration (VIV) of an elastically mounted rigid circular cylinder, which is held in the middle of a straight channel, is numerically investigated. The wall model based on the simplified turbulent boundary layer equations is employed to alleviate the requirement of mesh resolution in the near-wall region. The ability of the method for fluid-structure interaction is demonstrated by simulating flows over a circular cylinder undergoing VIV. The cylinder is neutrally buoyant with a reduced mass $m^∗ =11$ and has a low damping ratio $ζ =0.001.$ The numerical experiment of the VIV of a cylinder in an unbounded flow shows that the present LES-DFD method is more accurate and reliable than the referenced RANS and DES methods. For the cylinder in the middle of a straight channel, the effect of the channel height $(d^∗ = d/D)$ is investigated. The variations of the response amplitude, vortex-shedding pattern and the length of the induced separation zone in the channel boundary layers with the channel height are presented.

Tianmei Pu, Yang Zhang & Chunhua Zhou. (2022). Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method. Advances in Applied Mathematics and Mechanics. 14 (6). 1456-1476. doi:10.4208/aamm.OA-2021-0199
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